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Function : A special type of relation where each element
in 1st set is associated withexactly one
element of second set
(For every x value there is only one y value)
Note: All functions are relations but not all relations are functions.
Domain: The set of first elements of a relation (x‐ values)
Range: The set of related second elements of a relation (y‐ values)
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How to Identify Functions:
A relation is a function when:
• In ordered pairs, each ordered pair has a different
first element (all x values are different)
• In a table, all elements in 1st column are different
• In an arrow diagram, there is exactly one arrow
coming from each element in 1st set.
• In a graph, passes vertical line test
• A graph is a function ­ If a vertical line only passes through the graph in one place
• A graph is not a function ­ If a vertical line passes through the graph in more than one place
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Complete the table of values and the graph for the following relation
Is the above a relation a function? 5
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